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Finding the Fourth Proportional to 997.93, 1,377.14 and 578.36

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Solution

The fourth proportional to 997.93, 1,377.14 and 578.36 is: 798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.93 : 1,377.14 = 578.36 : x
  2. Step 2: Convert to fraction form
    997.93/1,377.14 = 578.36/x
  3. Step 3: Cross multiply
    997.93x = 1,377.14 × 578.36
  4. Step 4: Simplify right side
    997.93x = 796,479.80
  5. Step 5: Solve for x
    x = 796,479.80/997.93
  6. Step 6: Final answer
    x = 798.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.